Problem 2.1 Comparing Leisure Activities A. Why don’t the numbers in the columns add to the given totals?
The columns don’t add up because they are the total number of people from that group who took the survey and because some people could have been counted more than once, so it wouldn’t make sense to say all of these added up are the total in group.
B. Write three statements that use percents to make comparisons about the numbers of male and female participants in the various activities. Explain how you found the percents.
1. 21% of the males camped while 16% of the females camped.
2. 19% of the males exercise walked while 37% of the females exercise walked.
3. 27% of the males fished while 13% of the females fished.
Males- I found the males percentages by dividing the number of whatever amount of people did that sport (such as camping) by 111,851,000. Then I multiplied the decimal I got by a hundred to get my percent.
Females- I found the females percentages by dividing the number of whatever amount of people did that sport (such as camping) by 118,555,000. Then I multiplied the decimal I got by a hundred to get my percent.
C. Write three statements that use percents to make comparisons about the numbers of teenage and older-adult participants in the various activities.
1. 25% of the teenagers camped while 11%% of the older-adults camped.
2. 13% of the teenagers exercise walked while 37%% of the older-adults exercise walked.
3. 23% of the teenagers fished while 15% of the older-adults fished.
D.Write three statements about this data without using percents.
Male & Female
1. 23,165,000/111,851,000 males camped while 19,533,000/118,555,000 feProxy-Connection: keep-alive Cache-Control: max-age=0 les camped.
2. 21,054,000/111,851,000 males exercise walked Proxy-Connection: keep-alive Cache-Control: max-age=0 ile 43,373,000/118,555,000 females exercise walked.
3. 30,449,000/111,851,000 males fished while 14,885,000/118,555,000 females fished.
Teenage & Older-Adult
1. 5,336,000/21,304,000 of the teenagers camped while 2,355,000%2Proxy-Connection: keep-alive Cache-Control: max-age=0 0,922,000 of the older-adults camped.
2. 2,816,000/21,304,000 of the teenagers exercise walked while 7,782,000/20,922,000of the older-adults exercise walked.
3. 4,945,000/21,304,000 of the teenagers fished while 3,156,000/20,922,000of the older-adults fished.
Follow Up
1. Explain how you might decide when percents would be a good way to make a comparison and when other forms of comparisons would be better. Use examples if they help explain your ideas.
A percent is good for comparisons because it is easier to understand, but what if someone wants the exact numbers. 40% could mean 4/10 or 400,000/1,000,000. When someone wants to know the exact numbers, a percent wouldn’t be good for that question.
2. Can you compare the participation of teenage boys in these activities to the participation of older-adult women by using the data in the table? Explain.
You can’t compare older-adult women with teenage boys because the information they gave you isn’t enough. They%2
January 24, 2009
Math 7B
Problem 2.1 Comparing Leisure Activities
A. Why don’t the numbers in the columns add to the given totals?
The columns don’t add up because they are the total number of people from that group who took the survey and because some people could have been counted more than once, so it wouldn’t make sense to say all of these added up are the total in group.
B. Write three statements that use percents to make comparisons about the numbers of male and female participants in the various activities. Explain how you found the percents.
1. 21% of the males camped while 16% of the females camped.
2. 19% of the males exercise walked while 37% of the females exercise walked.
3. 27% of the males fished while 13% of the females fished.
Males- I found the males percentages by dividing the number of whatever amount of people did that sport (such as camping) by 111,851,000. Then I multiplied the decimal I got by a hundred to get my percent.
Females- I found the females percentages by dividing the number of whatever amount of people did that sport (such as camping) by 118,555,000. Then I multiplied the decimal I got by a hundred to get my percent.
C. Write three statements that use percents to make comparisons about the numbers of teenage and older-adult participants in the various activities.
1. 25% of the teenagers camped while 11%% of the older-adults camped.
2. 13% of the teenagers exercise walked while 37%% of the older-adults exercise walked.
3. 23% of the teenagers fished while 15% of the older-adults fished.
D. Write three statements about this data without using percents.
Male & Female
1. 23,165,000/111,851,000 males camped while 19,533,000/118,555,000 feProxy-Connection: keep-alive Cache-Control: max-age=0 les camped.
2. 21,054,000/111,851,000 males exercise walked Proxy-Connection: keep-alive Cache-Control: max-age=0 ile 43,373,000/118,555,000 females exercise walked.
3. 30,449,000/111,851,000 males fished while 14,885,000/118,555,000 females fished.
Teenage & Older-Adult
1. 5,336,000/21,304,000 of the teenagers camped while 2,355,000%2Proxy-Connection: keep-alive Cache-Control: max-age=0 0,922,000 of the older-adults camped.
2. 2,816,000/21,304,000 of the teenagers exercise walked while 7,782,000/20,922,000of the older-adults exercise walked.
3. 4,945,000/21,304,000 of the teenagers fished while 3,156,000/20,922,000of the older-adults fished.
Follow Up
1. Explain how you might decide when percents would be a good way to make a comparison and when other forms of comparisons would be better. Use examples if they help explain your ideas.
A percent is good for comparisons because it is easier to understand, but what if someone wants the exact numbers. 40% could mean 4/10 or 400,000/1,000,000. When someone wants to know the exact numbers, a percent wouldn’t be good for that question.
2. Can you compare the participation of teenage boys in these activities to the participation of older-adult women by using the data in the table? Explain.
You can’t compare older-adult women with teenage boys because the information they gave you isn’t enough. They%2